Ms Morris said “a lot” of her Conservative colleagues would be swayed by the Prime Minister’s promise to resign if her deal gets passed. However, she said she will still be voting against the deal. Ms Morris added that she still thinks enough Brexiteers will hold strong that the deal will not pass.
The Tory backbencher said: “I think that there are enough of us to ensure that it still won’t pass, but I will be honest, it will be on a knife edge.
“We are not talking about 50 votes, we are talking about a handful either way, so it’s going to be knife edge stuff.
Mrs May told the 1922 Committee yesterday that she would resign and let another take over the Brexit negotiations, if her withdrawal agreement made it through Parliament.
Some MPs previously opposed to her deal said they would now stand beside her, including former Foreign Secretary Boris Johnson.
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However, Ms Morris was not swayed by the offer.
She said: “For this deal to have been made, which sees her resignation but only after she’s ensured that her deal gets through, the bill is laid and becomes an Act of Parliament is frankly, for me, not a deal I will personally accept.
“I will still vote against that deal, but it is clear that a lot of my colleagues will vote to support the deal.”
She added: “I still think it will be close.”
The Prime Minister’s offer to resign if her deal gets through was called a “big act of self-sacrifice, by Justice Secretary David Gauke.
He added that Mrs May was putting the national interest above her own.
Meanwhile, Tory MP Nadine Dorries said the Prime Minister looked “relieved” as she gave her announcement.
Ms Dorries said: “I think she looked slightly relieved when she gave her speech tonight.
“She’s been under the most enormous pressure, immense pressure.
“I’m not sure how many people could work the hours or be working in such adverse conditions as she has or adverse circumstances as she had over the past two years.”